Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants

Rajkovic, Predrag M.; Barry, Paul; Savic, Natasa

Displaying similar documents to “Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants”

The Hankel transform and some of its properties.

Layman, John W. (2001)

Journal of Integer Sequences [electronic only]

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Closed-form expression for Hankel determinants of the Narayana polynomials

Marko D. Petković, Paul Barry, Predrag Rajković (2012)

Czechoslovak Mathematical Journal

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We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation...

Convolution operators on Kucera-type spaces for the Hankel transformation

Jorge J. Betancor, Isabel Marrero (1997)

Czechoslovak Mathematical Journal

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Generalized Catalan numbers, Hankel transforms and Somos-4 sequences.

Barry, Paul (2010)

Journal of Integer Sequences [electronic only]

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On Hankel transformable distribution spaces.

Betancor, Jorge J. (1999)

Publications de l'Institut Mathématique. Nouvelle Série

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Hankel convolution on distribution spaces with exponential growth

Jorge Betancor, Lourdes Rodríguez-Mesa (1996)

Studia Mathematica

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We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.

Characterization of Hankel transformable generalized functions.

Betancor, J.J. (1991)

International Journal of Mathematics and Mathematical Sciences

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On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support

M. Belhadj, Jorge J. Betancor (2004)

Czechoslovak Mathematical Journal

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In this paper we study Beurling type distributions in the Hankel setting. We consider the space $ℰ {(w)}^{'}$ of Beurling type distributions on $(0, \infty)$ having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space $ℰ {(w)}^{'}$ . We also establish Paley Wiener type theorems for Hankel transformations of distributions in $ℰ {(w)}^{'}$ .